A theorem about snakes for weak Cartesian systems
It is shown that Karlin's theorem about snakes remains true for polynomials in any weak Cartesian system of continuous functions on a compact set without any change in the statement, and the existence part is valid for arbitrary weak Chebyshev systems.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5419 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511651520839680 |
|---|---|
| author | Davydov, O. V. Давыдов, О. В. Давыдов, О. В. |
| author_facet | Davydov, O. V. Давыдов, О. В. Давыдов, О. В. |
| author_sort | Davydov, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:05Z |
| description | It is shown that Karlin's theorem about snakes remains true for polynomials in any weak Cartesian system of continuous functions on a compact set without any change in the statement, and the existence part is valid for arbitrary weak Chebyshev systems. |
| first_indexed | 2026-03-24T03:16:17Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5419 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:17Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d7/9844d93316b1a8ac27c0b944c8f3bbd7.pdf |
| spelling | umjimathkievua-article-54192020-03-19T08:59:05Z A theorem about snakes for weak Cartesian systems Теорема об ужах для слабых декартовых систем Davydov, O. V. Давыдов, О. В. Давыдов, О. В. It is shown that Karlin's theorem about snakes remains true for polynomials in any weak Cartesian system of continuous functions on a compact set without any change in the statement, and the existence part is valid for arbitrary weak Chebyshev systems. Встановлено, що теорема Карліна про вужі справедлива без зміни формулювання для многочленів за будь-якою слабкою декартовою системою неперервних функцій на компакті, а у частині існування — для довільних слабких чебишовських систем. Institute of Mathematics, NAS of Ukraine 1995-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5419 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 3 (1995); 315–321 Український математичний журнал; Том 47 № 3 (1995); 315–321 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5419/7527 https://umj.imath.kiev.ua/index.php/umj/article/view/5419/7528 Copyright (c) 1995 Davydov O. V. |
| spellingShingle | Davydov, O. V. Давыдов, О. В. Давыдов, О. В. A theorem about snakes for weak Cartesian systems |
| title | A theorem about snakes for weak Cartesian systems |
| title_alt | Теорема об ужах для слабых декартовых систем |
| title_full | A theorem about snakes for weak Cartesian systems |
| title_fullStr | A theorem about snakes for weak Cartesian systems |
| title_full_unstemmed | A theorem about snakes for weak Cartesian systems |
| title_short | A theorem about snakes for weak Cartesian systems |
| title_sort | theorem about snakes for weak cartesian systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5419 |
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